This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of...

Computational techniques have become indispensable tools in solving complex problems in transport phenomena. This book provides a clear, user-oriented introduction to the subject of computational transport phenomena. Each self-contained chapter includes a detailed worked example and a discussion of the problem system equations. Also included are the numerical methods used; computer code for the solution of the problem system equations; discussion of the numerical solution with emphasis on physical interpretation; and, when appropriate, a comparison of the numerical solution with an analytical...

Offers numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations, differential algebraic equations, and partial differential equations that occur in science and engineering. This book also presents examples, each including an analysis of a computer code written in transportable Fortran 77.

A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs in which the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and thus makes the...